Acronym trattip
Name triangular tiling prism
Confer
related tesselations:
tiph  
External
links
polytopewiki

This euclidean honeycomb uses trat (for cells) in the sense of an infinite horohedron.

The infinite stack of this slab, then blending out those horohedra, would result in tiph.


Incidence matrix according to Dynkin symbol

x x3o6o   (N → ∞)

. . . . | 2N | 1  6 |  6  6 |  6 1
--------+----+------+-------+-----
x . . . |  2 | N  * |  6  0 |  6 0
. x . . |  2 | * 6N |  1  2 |  2 1
--------+----+------+-------+-----
x x . . |  4 | 2  2 | 3N  * |  2 0
. x3o . |  3 | 0  3 |  * 4N |  1 1
--------+----+------+-------+-----
x x3o .   6 | 3  6 |  3  2 | 2N *
. x3o6o   N | 0 3N |  0 2N |  * 2


x x3o3o3*b    (N → ∞)

. . . .    | 2N | 1  6 |  6  3  3 | 3 3 1
-----------+----+------+----------+------
x . . .    |  2 | N  * |  6  0  0 | 3 3 0
. x . .    |  2 | * 6N |  1  1  1 | 1 1 1
-----------+----+------+----------+------
x x . .    |  4 | 2  2 | 3N  *  * | 1 1 0
. x3o .    |  3 | 0  3 |  * 2N  * | 1 0 1
. x . o3*b |  3 | 0  3 |  *  * 2N | 0 1 1
-----------+----+------+----------+------
x x3o .      6 | 3  6 |  3  2  0 | N * *
x x . o3*b   6 | 3  6 |  3  0  2 | * N *
. x3o3o3*b   N | 0 3N |  0  N  N | * * 2

© 2004-2024
top of page